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<p>We give lower bounds for genera of components of fiber products of holomorphic maps between compact Riemann surfaces, extending results on genera of components of algebraic curves of the form <i>A</i>(<i>x</i>) − <i>B</i>(<i>y</i>) = 0, where <i>A</i> and <i>B</i> are rational functions.</p>

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Lower bounds for genera of fiber products

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年5月9日

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  • Fedor Pakovich

摘要

We give lower bounds for genera of components of fiber products of holomorphic maps between compact Riemann surfaces, extending results on genera of components of algebraic curves of the form A(x) − B(y) = 0, where A and B are rational functions.